D8DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number D8DF to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert D8DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D8DF by 16⁰, multiply the second to last digit in D8DF by 16¹, multiply the third to last digit in D8DF by 16², multiply the fourth to last digit in D8DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
8 × 16² = 2048
D × 16³ = 53248

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

15 + 208 + 2048 + 53248 = 55519

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

55519 ÷ 2 = 27759 with 1 remainder
27759 ÷ 2 = 13879 with 1 remainder
13879 ÷ 2 = 6939 with 1 remainder
6939 ÷ 2 = 3469 with 1 remainder
3469 ÷ 2 = 1734 with 1 remainder
1734 ÷ 2 = 867 with 0 remainder
867 ÷ 2 = 433 with 1 remainder
433 ÷ 2 = 216 with 1 remainder
216 ÷ 2 = 108 with 0 remainder
108 ÷ 2 = 54 with 0 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to D8DF hexadecimal to binary:

D8DF hexadecimal = 1101100011011111 binary

Hexadecimal to Binary Converter
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